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Finding the Fourth Proportional to 3,833.64, 5,751.54 and 1,237.32

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Solution

The fourth proportional to 3,833.64, 5,751.54 and 1,237.32 is: 1,856.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.64 : 5,751.54 = 1,237.32 : x
  2. Step 2: Convert to fraction form
    3,833.64/5,751.54 = 1,237.32/x
  3. Step 3: Cross multiply
    3,833.64x = 5,751.54 × 1,237.32
  4. Step 4: Simplify right side
    3,833.64x = 7,116,495.47
  5. Step 5: Solve for x
    x = 7,116,495.47/3,833.64
  6. Step 6: Final answer
    x = 1,856.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.